Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617739 | Journal of Mathematical Analysis and Applications | 2012 | 9 Pages |
Abstract
In this paper we obtain a necessary and sufficient condition for the harmonicity of the inverse of a harmonic diffeomorphism. As an application, we give explicit representations of reversible logharmonic diffeomorphisms. As another application, we connect the harmonicity of the inverse of a hyperbolic harmonic quasiconformal diffeomorphism with the Schoen conjecture.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis